-
2
-
-
0038049701
-
Methods of control theory in nonholonomic geometry
-
(Zurich, 1994), Birkhauser, Basel
-
A. A. AGRACHEV, Methods of control theory in nonholonomic geometry, in Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zurich, 1994), Birkhauser, Basel, 1995, pp. 1473-1483.
-
(1995)
Proceedings of the International Congress of Mathematicians
, vol.1
, Issue.2
, pp. 1473-1483
-
-
Agrachev, A.A.1
-
3
-
-
85053529728
-
Symplectic geometry for optimal control
-
Nonlinear Controllability and Optimal Control, Dekker, New York
-
A. A. AGRACHEV AND R. V. GAMKRELIDZE, Symplectic geometry for optimal control, in Nonlinear Controllability and Optimal Control, Monogr. Textbooks Pure Appl. Math. 133, Dekker, New York, 1990, pp. 263-277.
-
(1990)
Monogr. Textbooks Pure Appl. Math.
, vol.133
, pp. 263-277
-
-
Agrachev, A.A.1
Gamkrelidze, R.V.2
-
4
-
-
0742333192
-
Control theory from the geometric viewpoint
-
Control Theory and Optimization II, Springer-Verlag, Berlin
-
A. A. AGRACHEV AND Y. L. SACHKOV, Control Theory from the Geometric Viewpoint, Encyclopaedia Math. Sci. 87, Control Theory and Optimization II, Springer-Verlag, Berlin, 2004.
-
(2004)
Encyclopaedia Math. Sci.
, vol.87
-
-
Agrachev, A.A.1
Sachkov, Y.L.2
-
5
-
-
0009491442
-
Symplectic methods for optimization and control
-
Geometry of Feedback and Optimal Control, Dekker, New York
-
A. A. AGRACHEV AND R. V. GAMKRELIDZE, Symplectic methods for optimization and control, in Geometry of Feedback and Optimal Control, Monogr. Textbooks Pure Appl. Math. 207, Dekker, New York, 1998, pp. 19-77.
-
(1998)
Monogr. Textbooks Pure Appl. Math.
, vol.207
, pp. 19-77
-
-
Agrachev, A.A.1
Gamkrelidze, R.V.2
-
7
-
-
0041926724
-
Strong optimality of a bang-bang trajectory
-
A. A. AGRACHEV, G. STEFANI AND P. ZEZZA, Strong optimality of a bang-bang trajectory, SIAM J. Control Optim., 41 (2002), pp. 991-1014.
-
(2002)
SIAM J. Control Optim.
, vol.41
, pp. 991-1014
-
-
Agrachev, A.A.1
Stefani, G.2
Zezza, P.3
-
8
-
-
0000401789
-
Sufficient condition for optimality and the justification of the dynamic programming principle
-
V. BOLTYANSKII, Sufficient condition for optimality and the justification of the dynamic programming principle, SIAM J. Control Optim., 4 (1966), pp. 326-361.
-
(1966)
SIAM J. Control Optim.
, vol.4
, pp. 326-361
-
-
Boltyanskii, V.1
-
9
-
-
0035323824
-
Extremal syntheses for generic planar systems
-
U. BOSCAIN AND B. PlCCOLI, Extremal syntheses for generic planar systems, J. Dynam. Control Systems, 7 (2001), pp. 209-258.
-
(2001)
J. Dynam. Control Systems
, vol.7
, pp. 209-258
-
-
Boscain, U.1
Plccoli, B.2
-
10
-
-
0035412738
-
Morse properties for the minimum time function on 2-D mani-folds
-
U. BOSCAIN AND B. PICCOLI, Morse properties for the minimum time function on 2-D mani-folds, J. Dynam. Control Systems, 7 (2001), pp. 385-423.
-
(2001)
J. Dynam. Control Systems
, vol.7
, pp. 385-423
-
-
Boscain, U.1
Piccoli, B.2
-
11
-
-
0036401923
-
On automaton recognizability of abnormal extremals
-
U. BOSCAIN AND B. PICCOLI, On automaton recognizability of abnormal extremals, SIAM J. Control Optim., 40 (2002), pp. 1333-1357.
-
(2002)
SIAM J. Control Optim.
, vol.40
, pp. 1333-1357
-
-
Boscain, U.1
Piccoli, B.2
-
12
-
-
1542313394
-
Optimal syntheses for control systems on 2-D manifolds
-
Springer, Berlin
-
U. BOSCAIN AND B. PICCOLI, Optimal Syntheses for Control Systems on 2-D Manifolds, Math. Appl. (Berlin) 43, Springer, Berlin, 2004.
-
(2004)
Math. Appl. (Berlin)
, vol.43
-
-
Boscain, U.1
Piccoli, B.2
-
13
-
-
1542342394
-
On the minimum time problem for driftless left-invariant control systems on SO(3)
-
U. BOSCAIN AND Y. CHITOUR, On the minimum time problem for driftless left-invariant control systems on SO(3), Commun. Pure Appl. Anal., 1 (2002), pp. 285-312.
-
(2002)
Commun. Pure Appl. Anal.
, vol.1
, pp. 285-312
-
-
Boscain, U.1
Chitour, Y.2
-
15
-
-
0031673673
-
A generic classification of time optimal planar stabilizing feedbacks
-
A. BRESSAN AND B. PICCOLI, A generic classification of time optimal planar stabilizing feedbacks, SIAM J. Control Optim., 36 (1998), pp. 12-32.
-
(1998)
SIAM J. Control Optim.
, vol.36
, pp. 12-32
-
-
Bressan, A.1
Piccoli, B.2
-
16
-
-
33244497500
-
On the structure of optimal feedback systems
-
(Helsinki, 1978), Acad. Sci. Fennica, Helsinki
-
P. BRUNOVSKÝ, On the structure of optimal feedback systems, in Proceedings of the International Congress of Mathematicians (Helsinki, 1978), Acad. Sci. Fennica, Helsinki, 1980, pp. 841-846.
-
(1980)
Proceedings of the International Congress of Mathematicians
, pp. 841-846
-
-
Brunovský, P.1
-
17
-
-
0000977157
-
On curves of minimal length with a constraint on average curvature and with prescribed initial and terminal positions and tangents
-
L. E. DUBINS, On curves of minimal length with a constraint on average curvature and with prescribed initial and terminal positions and tangents, Am. J. Math. 79 (1957), pp. 497-516.
-
(1957)
Am. J. Math.
, vol.79
, pp. 497-516
-
-
Dubins, L.E.1
-
18
-
-
0004168114
-
Geometric control theory
-
Cambridge University Press, Cambridge
-
V. JURDJEVIC, Geometric Control Theory, Cambridge Stud. Adv. Math., Cambridge University Press, Cambridge, 1997.
-
(1997)
Cambridge Stud. Adv. Math.
-
-
Jurdjevic, V.1
-
19
-
-
0024478824
-
The structure of small-time reachable sets in low dimensions
-
A. J. KRENER AND H. SCHATTLER, The structure of small-time reachable sets in low dimensions, SIAM J. Control Optim., 27 (1989), pp. 120-147.
-
(1989)
SIAM J. Control Optim.
, vol.27
, pp. 120-147
-
-
Krener, A.J.1
Schattler, H.2
-
20
-
-
0002408866
-
Ubiquity of the Fuller phenomenon
-
Nonlinear Controllability and Optimal Control, Dekker, New York
-
I. KUPKA, Ubiquity of the Fuller phenomenon, in Nonlinear Controllability and Optimal Control, Monogr. Textbooks Pure Appl. Math. 133, Dekker, New York, 1990.
-
(1990)
Monogr. Textbooks Pure Appl. Math.
, vol.133
-
-
Kupka, I.1
-
21
-
-
0003761205
-
-
John Wiley, New York, London, Sydney
-
E. B. LEE AND L. MARKUS, Foundations of Optimal Control Theory, John Wiley, New York, London, Sydney, 1967.
-
(1967)
Foundations of Optimal Control Theory
-
-
Lee, E.B.1
Markus, L.2
-
22
-
-
0036409794
-
Regular syntheses and solutions to discontinuous ODEs
-
A. MARIGO AND B. PICCOLI, Regular syntheses and solutions to discontinuous ODEs, ESAIM Control Optim. Calc. Var., 7 (2002), pp. 291-308.
-
(2002)
ESAIM Control Optim. Calc. Var.
, vol.7
, pp. 291-308
-
-
Marigo, A.1
Piccoli, B.2
-
23
-
-
0001883640
-
Regular time-optimal syntheses for smooth planar systems
-
B. PICCOLI, Regular time-optimal syntheses for smooth planar systems, Rend. Sem. Mat. Univ. Padova, 95 (1996), pp. 59-79.
-
(1996)
Rend. Sem. Mat. Univ. Padova
, vol.95
, pp. 59-79
-
-
Piccoli, B.1
-
24
-
-
0030289481
-
Classifications of generic singularities for the planar time-optimal synthesis
-
B. PICCOLI, Classifications of generic singularities for the planar time-optimal synthesis, SIAM J. Control Optim., 34 (1996), pp. 1914-1946.
-
(1996)
SIAM J. Control Optim.
, vol.34
, pp. 1914-1946
-
-
Piccoli, B.1
-
25
-
-
0034453280
-
Regular synthesis and sufficiency conditions for optimality
-
B. PICCOLI AND H. J. SUSSMANN, Regular synthesis and sufficiency conditions for optimality, SIAM J. Control Optim., 39 (2000), pp. 359-410.
-
(2000)
SIAM J. Control Optim.
, vol.39
, pp. 359-410
-
-
Piccoli, B.1
Sussmann, H.J.2
-
26
-
-
0003716450
-
-
John Wiley, New York
-
L. S. PONTRYAGIN, V. BOLTIANSKI, R. GAMKRELIDZE, AND E. MlTCHTCHENKO, The Mathematical Theory of Optimal Processes, John Wiley, New York, 1961.
-
(1961)
The Mathematical Theory of Optimal Processes
-
-
Pontryagin, L.S.1
Boltianski, V.2
Gamkrelidze, R.3
Mltchtchenko, E.4
-
27
-
-
3943090734
-
Index of second variation of a control system
-
A. V. SARYCHEV, Index of second variation of a control system, (Russian) Mat. Sb. (N.S.) 113(155), (1980), pp. 464-486, 496.
-
(1980)
Mat. Sb. (N.S.)
, vol.113
, Issue.155
, pp. 464-486
-
-
Sarychev, A.V.1
-
28
-
-
85053552343
-
Regularity properties of optimal trajectories: Recently developed techniques
-
Nonlinear Controllability and Optimal Control, Dekker, New York
-
H. SCHATTLER, Regularity properties of optimal trajectories: Recently developed techniques, in Nonlinear Controllability and Optimal Control, Monogr. Textbooks Pure Appl. Math. 133, Dekker, New York, 1990, pp. 351-381.
-
(1990)
Monogr. Textbooks Pure Appl. Math.
, vol.133
, pp. 351-381
-
-
Schattler, H.1
-
29
-
-
0030151797
-
Shortest paths synthesis for a car-like robot
-
P. SOUÈRES AND J. P. LAUMOND, Shortest paths synthesis for a car-like robot, IEEE Trans. Automat. Control, 41 (1996), pp. 672-688.
-
(1996)
IEEE Trans. Automat. Control
, vol.41
, pp. 672-688
-
-
Souères, P.1
Laumond, J.P.2
-
30
-
-
33244483198
-
Higher order variations: How can they be defined in order to have good properties?
-
Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control (Minneapolis, MN, 1993), IMA Vol. Springer, New York
-
G. STEFANI, Higher order variations: How can they be defined in order to have good properties? in Nonsmooth Analysis and Geometric Methods in Deterministic Optimal Control (Minneapolis, MN, 1993), IMA Vol. Math. Appl. 78, Springer, New York, 1996, pp. 227-237.
-
(1996)
Math. Appl.
, vol.78
, pp. 227-237
-
-
Stefani, G.1
-
31
-
-
84972551517
-
Sub-Riemannian geometry
-
R. STRICHARTZ, Sub-Riemannian geometry, J. Differ. Geom., 24 (1983), pp. 221-263.
-
(1983)
J. Differ. Geom.
, vol.24
, pp. 221-263
-
-
Strichartz, R.1
-
32
-
-
0023383491
-
The structure of time-optimal trajectories for single-input systems in the plane: The general real-analytic case
-
H. J. SUSSMANN, The structure of time-optimal trajectories for single-input systems in the plane: The general real-analytic case, SIAM J. Control Optim., 25 (1987), pp. 868-904.
-
(1987)
SIAM J. Control Optim.
, vol.25
, pp. 868-904
-
-
Sussmann, H.J.1
-
33
-
-
0023422486
-
Regular synthesis for time optimal control of single-input real-analytic systems in the plane
-
H. J. SUSSMANN, Regular synthesis for time optimal control of single-input real-analytic systems in the plane, SIAM J. Control Optim., 25 (1987), pp. 1145-1162.
-
(1987)
SIAM J. Control Optim.
, vol.25
, pp. 1145-1162
-
-
Sussmann, H.J.1
-
34
-
-
0005335685
-
Envelopes, conjugate points, and optimal bang-bang extremals
-
Algebraic and Geometric Methods in Nonlinear Control Theory, Reidel, Dordrecht
-
H. J. SUSSMANN, Envelopes, conjugate points, and optimal bang-bang extremals, in Algebraic and Geometric Methods in Nonlinear Control Theory, Math. Appl. 29, Reidel, Dordrecht, 1986, pp. 325-346.
-
(1986)
Math. Appl.
, vol.29
, pp. 325-346
-
-
Sussmann, H.J.1
-
37
-
-
0003740690
-
Theory of chattering control. with applications to astronautics, robotics, economics, and engineering
-
Birkhäuser, Boston
-
M. I. ZELIKIN AND V. F. BORISOV, Theory of Chattering Control. With Applications to Astronautics, Robotics, Economics, and Engineering, Systems Control Found. Appl., Birkhäuser, Boston, 1994.
-
(1994)
Systems Control Found. Appl.
-
-
Zelikin, M.I.1
Borisov, V.F.2
|